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Finding the Fourth Proportional to 14,123.86, 19,492.59 and 7,836.64

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Solution

The fourth proportional to 14,123.86, 19,492.59 and 7,836.64 is: 10,815.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.86 : 19,492.59 = 7,836.64 : x
  2. Step 2: Convert to fraction form
    14,123.86/19,492.59 = 7,836.64/x
  3. Step 3: Cross multiply
    14,123.86x = 19,492.59 × 7,836.64
  4. Step 4: Simplify right side
    14,123.86x = 152,756,410.50
  5. Step 5: Solve for x
    x = 152,756,410.50/14,123.86
  6. Step 6: Final answer
    x = 10,815.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.